Spin-Peierls instability in the three-leg Heisenberg ladder

Details Spin-Peierls instability in the three-leg Heisenberg ladder Spin-Peierls instability in the three-leg Heisenberg ladder

2007-08-30

arxiv.org/abs/0708.4181v1

Phys. Rev. B 76, 132410 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 6 figures

Scientific paper

10.1103/PhysRevB.76.132410

Because the three-leg ladder behaves like a renormalized single Heisenberg chain we argue that a spin-Peierls instability must occur in this system when it is coupled to three-dimensional phonons. Using the bond-mean-field theory, we show that this is indeed the case. The dimerized state below the spin-Peierls transition temperature forms into the columnar dimerized phase not the staggered one. This contrasts with the argument based on antiferromagnetism. A physical argument based rather on spin bonding into singlets explains why the columnar configuration is favored. No quantum criticality (gaplessness) can occur in the columnar arrangement of the dimerized chains.

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